Design And Research Of ZCZ Complementary Sequence Pairs Set And Array Pairs Set

The sequences with good correlation properties can reduce or even eliminate the interferences in the CDMA communication system,therefore the key problem of CDMA communication system is the design of spread spectrum sequence.In recent years,QS-CDMA system has been widely concerned by researchers because it does not require precise synchronization among users,and also reduces the complexity of the equipment.Zero correlation zone?ZCZ?sequences can satisfy the requirements of the QS-CDMA system.Combining the idea of zero correlation zone and sequence pairs,the construction method of ZCZ complementary sequence pairs set and array pairs set is mainly studied in this paper,in a certain extent it makes up for the limitation of the number of sequences of complementary sequences,while retaining the good properties of the complementary sequences.In this paper,firstly study the construction of quaternary ZCZ periodic complementary sequence pairs set.The shift sequence and the inverse Gray mapping are mainly designed,based on the binary periodic complementary sequence pairs set,using shift sequence and interleaving technique,combining with the inverse Gray mapping,we construct a class of quaternary ZCZ periodic complementary sequence pairs set.Under the certain conditions,the ZPCSPS₄ is constructed can reach the theoretical limit.Secondly,by using the method of combining the PCAPS₂ and orthogonal matrix,we construct a class of two-dimensional quaternary ZCZ periodic complementary array pairs set?ZPCAPS₄?by using the inverse and the Gray mapping.In addition,a class of ZPCAPS₄which subsets are completely orthogonal is constructed by using the binary periodic complementary array pairs set as the initial array.In the above method,the concept of periodic complementary sequence pairs is introduced into the structure of the array,which further extends the space of the spread spectrum sequence.Thirdly,on the basis of binary periodic complementary sequence pairs set with zero correlation zone and the inverse Gray mapping,two new methods of constructing the16QAM periodic complementary sequence pairs set with zero correlation zone are proposed.The above method can generate to construct 16QAM sequence from binary sequences directly,which provides a new thought for constructing the16QAM sequences.Finally,based on the OCSPS₂ and the proposed new shift sequences,the new ternary odd periodic complementary sequence pairs set with zero correlation zone are constructed,and expanded the number and the length of the ZCZ sequence pairs set by using the crossover operation.The results in this paper enrich the design theory of multivariate and multidimensional spread spectrum sequences,which provides a rich set of optional spreading sequences for engineering applications.